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Finding the Third Proportional to 3,678,508.69 and 7,919,213.06

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Solution

The third proportional to 3,678,508.69 and 7,919,213.06 is: 17,048,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678,508.69 : 7,919,213.06 = 7,919,213.06 : x
  2. Step 2: Convert to fraction form
    3,678,508.69/7,919,213.06 = 7,919,213.06/x
  3. Step 3: Cross multiply
    3,678,508.69x = 7,919,213.06 × 7,919,213.06
  4. Step 4: Simplify right side
    3,678,508.69x = 62,713,935,529,270.62
  5. Step 5: Solve for x
    x = 62,713,935,529,270.62/3,678,508.69
  6. Step 6: Final answer
    x = 17,048,739.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.